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Finding the Fourth Proportional to 493,820.15, 740,773.96 and 138,837.24

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Solution

The fourth proportional to 493,820.15, 740,773.96 and 138,837.24 is: 208,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,820.15 : 740,773.96 = 138,837.24 : x
  2. Step 2: Convert to fraction form
    493,820.15/740,773.96 = 138,837.24/x
  3. Step 3: Cross multiply
    493,820.15x = 740,773.96 × 138,837.24
  4. Step 4: Simplify right side
    493,820.15x = 102,847,011,723.18
  5. Step 5: Solve for x
    x = 102,847,011,723.18/493,820.15
  6. Step 6: Final answer
    x = 208,268.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.